Question

Use the image to answer the question.

An illustration shows a scatterplot with 25 points in quadrant 1. The x-axis is labeled daily high temperature and ranges from 60 to 95 degrees. The y-axis is labeled daily sales and ranges from 25 to 95 dollars. The x-axis shows temperature values in 5 degree increments. The y-axis shows sales in 10 dollar increments. The approximate coordinates of the points are as follows: left parenthesis 58 comma 23 right parenthesis, left parenthesis 60 comma 34 right parenthesis, left parenthesis 64 comma 19 right parenthesis, left parenthesis 66 comma 58 right parenthesis, left parenthesis 69 comma 43 right parenthesis, left parenthesis 69 comma 53 right parenthesis, left parenthesis 72 comma 48 right parenthesis, left parenthesis 74 comma 49 right parenthesis, left parenthesis 75 comma 49 right parenthesis, left parenthesis 77 comma 54 right parenthesis, left parenthesis 78 comma 57 right parenthesis, left parenthesis 78 comma 65 right parenthesis, left parenthesis 80 comma 54 right parenthesis, left parenthesis 81 comma 68 right parenthesis, left parenthesis 82 comma 63 right parenthesis, left parenthesis 84 comma 74 right parenthesis, left parenthesis 84.5 comma 67 right parenthesis, left parenthesis 85 comma 80 right parenthesis, left parenthesis 87 comma 74 right parenthesis, left parenthesis 88.5 comma 73.5 right parenthesis, left parenthesis 87.5 comma 95 right parenthesis, left parenthesis 91 comma 76 right parenthesis, left parenthesis 92.5 comma 69 right parenthesis, and left parenthesis 94 comma 86 right parenthesis, and left parenthesis 94.5 comma 80 right parenthesis.

Using the trend line, what whole number could you infer the daily sales amount is when the temperature is 68°? Round your answer to the nearest whole number.

(1 point)
$

1 answer

To determine the daily sales amount when the temperature is 68°F using the trend line from the scatterplot, look for the value on the y-axis that corresponds to the x-coordinate of 68°F.

The approximate points near the x-value of 68°F, based on the list provided, are:

  • (66, 58)
  • (69, 43)
  • (69, 53)

From these points, we can interpolate between the values at 66°F and 69°F to estimate the sales at 68°F.

At 66°F, the sales are approximately 58 dollars, and at 69°F, the sales seem to hover around 43 dollars (or could be considered as 53 based on the two data points).

Since 68°F is directly between 66°F and 69°F, we can take the average of the sales amounts at these two temperatures for a rough estimate:

  • (58 + 43)/2 = 50.5

Since this is a rough guess and may not perfectly follow the trend line, a visual approximation from the scatterplot could also provide a better estimate, likely resulting in a value around 50 to 55 dollars, as the data is somewhat scattered.

However, since we are asked to round to the nearest whole number and provide an estimate, the inferred daily sales amount at 68°F would likely fall around:

$50